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13121221032 = 23321371330213
BaseRepresentation
bin11000011100001010…
…11111000110101000
31020212102220002110100
430032011133012220
5203333013033112
610010001145400
7643104352503
oct141605370650
936772802410
1013121221032
115623650627
12266232b260
13131153561a
148c68c213a
1551bde92dc
hex30e15f1a8

13121221032 has 48 divisors (see below), whose sum is σ = 35796058740. Its totient is φ = 4341811968.

The previous prime is 13121221019. The next prime is 13121221037. The reversal of 13121221032 is 23012212131.

It can be written as a sum of positive squares in 2 ways, for example, as 12915413316 + 205807716 = 113646^2 + 14346^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13121220996 and 13121221014.

It is not an unprimeable number, because it can be changed into a prime (13121221037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655243 + ... + 674970.

Almost surely, 213121221032 is an apocalyptic number.

13121221032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121221032 is an abundant number, since it is smaller than the sum of its proper divisors (22674837708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121221032 is a wasteful number, since it uses less digits than its factorization.

13121221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330362 (or 1330355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121221032 its reverse (23012212131), we get a palindrome (36133433163).

The spelling of 13121221032 in words is "thirteen billion, one hundred twenty-one million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 1330213 2660426 3990639 5320852 7981278 10641704 11971917 15962556 23943834 31925112 47887668 95775336 182239181 364478362 546717543 728956724 1093435086 1457913448 1640152629 2186870172 3280305258 4373740344 6560610516 13121221032